Quantum Fisher Information Bounds on Precision Limits of Circular
Dichroism
- URL: http://arxiv.org/abs/2108.13970v1
- Date: Tue, 31 Aug 2021 16:52:15 GMT
- Title: Quantum Fisher Information Bounds on Precision Limits of Circular
Dichroism
- Authors: Jiaxuan Wang, and Girish S. Agarwal
- Abstract summary: Circular dichroism (CD) is a widely used technique for investigating optically chiral molecules, especially for biomolecules.
We develop quantum Fisher information matrix (QFIM) for precision estimates of the circular dichroism and the optical rotary dispersion for a variety of input quantum states of light.
- Score: 1.2891210250935146
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Circular dichroism (CD) is a widely used technique for investigating
optically chiral molecules, especially for biomolecules. It is thus of great
importance that these parameters be estimated precisely so that the molecules
with desired functionalities can be designed. In order to surpass the limits of
classical measurements, we need to probe the system with quantum light. We
develop quantum Fisher information matrix (QFIM) for precision estimates of the
circular dichroism and the optical rotary dispersion for a variety of input
quantum states of light. The Cramer-Rao bounds, for all four chirality
parameters are obtained, from QFIM for (a) single photon input states with a
specific linear polarization and for (b) NOON states having two photons with
both either left polarized or right polarized. The QFIM bounds, using quantum
light, are compared with bounds obtained for classical light beams i.e., beams
in coherent states. Quite generally, both the single photon state and the NOON
state exhibit superior precision in the estimation of absorption and phase
shift in relation to a coherent source of comparable intensity, especially in
the weak absorption regime. In particular, the NOON state naturally offers the
best precision among the three. We compare QFIM bounds with the error
sensitivity bounds, as the latter are relatively easier to measure whereas the
QFIM bounds require full state tomography. We also outline an empirical scheme
for estimating the measurement sensitivities by projective measurements with
single-photon detectors.
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